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Simplifying 5w + -6w = w + 5 Combine like terms: 5w + -6w = -1w -1w = w + 5 Reorder the terms: -1w = 5 + w Solving -1w = 5 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -1w + -1w = 5 + w + -1w Combine like terms: -1w + -1w = -2w -2w = 5 + w + -1w Combine like terms: w + -1w = 0 -2w = 5 + 0 -2w = 5 Divide each side by '-2'. w = -2.5 Simplifying w = -2.5
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